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App. Stats: added subsections
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\title{\textbf{Applied statistics (spring term 2019)}}
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\title{\textbf{Applied statistics (spring term 2019)}}
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\author{readers: \person{Nikolai Bode} and \person{Ksenia Shalonova}}
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\author{readers: \person{Nikolai Bode} and \person{Ksenia Shalonova}}
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\date{written by \person{Henry Haustein}}
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\begin{document}
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\begin{document}
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\pagenumbering{roman}
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\pagenumbering{roman}
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\subsection{Confidence and tolerance intervals}
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In statistical analysis we want to estimate a population from a \begriff{random sample}. This is called \begriff{interference} about the parameter. Random samples are used to provide information about parameters in an underlying \begriff{population distribution}. Rather than estimating the full shape of the underlying distribution, we usually focus on one or two parameters.
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In statistical analysis we want to estimate a population from a \begriff{random sample}. This is called \begriff{interference} about the parameter. Random samples are used to provide information about parameters in an underlying \begriff{population distribution}. Rather than estimating the full shape of the underlying distribution, we usually focus on one or two parameters.
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We want the error distribution to be centered on zero. Such an estimator is called \begriff{unbiased}. An biased estimator tends to have negative/positive errors, i.e. it usually underestimates/overestimates the parameter that is being estimated.
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We want the error distribution to be centered on zero. Such an estimator is called \begriff{unbiased}. An biased estimator tends to have negative/positive errors, i.e. it usually underestimates/overestimates the parameter that is being estimated.
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